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Solution: Insert Delete GetRandom O(1)

Explore how to design and implement a hybrid data structure that supports insert, delete, and get random operations in average O(1) time. Understand why combining arrays and hash maps enables efficient element management, and review a detailed solution including time and space complexity analysis.

Statement

Implement a Random Set data structure that can perform the following operations:

  • Constructor(): This initializes the Random Set object.
  • Insert(): This function takes an integer, data, as its parameter and, if it does not already exist in the set, add it to the set, returning TRUE. If the integer already exists in the set, the function returns FALSE.
  • Delete(): This function takes an integer, data, as its parameter and, if it exists in the set, removes it, returning TRUE. If the integer does not exist in the set, the function returns FALSE.
  • GetRandom(): This function takes no parameters. It returns an integer chosen at random from the set.

Note: Your implementation should aim to have a running time of O(1)O(1) (on average) for each operation.

Constraints:

  • 231-2^{31} \leq data 231\leq 2^{31}
  • No more than 2×1052 \times 10^5
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